Dimensional Duality
arXiv:0705.0550 · doi:10.1103/PhysRevD.76.066004
Abstract
We show that string theory on a compact negatively curved manifold, preserving a U(1)^{b_1} winding symmetry, grows at least b_1 new effective dimensions as the space shrinks. The winding currents yield a "D-dual" description of a Riemann surface of genus h in terms of its 2h dimensional Jacobian torus, perturbed by a closed string tachyon arising as a potential energy term in the worldsheet sigma model. D-branes on such negatively curved manifolds also reveal this structure, with a classical moduli space consisting of a b_1-torus. In particular, we present an AdS/CFT system which offers a non-perturbative formulation of such supercritical backgrounds. Finally, we discuss generalizations of this new string duality.
25 pages, harvmac. v2: fixed typo. v3: fixed typos and added refs
References in corpus (37)
- Gauge Theory Correlators from Non-Critical String Theory
- The Large N Limit of Superconformal Field Theories and Supergravity
- M Theory As A Matrix Model: A Conjecture
- String Theory Dynamics In Various Dimensions
- Phases of Theories In Two Dimensions
- Unity of Superstring Dualities
- Duality, Quotients, and Currents
- Radiative Corrections to Kaluza-Klein Masses
- Two-Dimensional Black Hole and Singularities of CY Manifolds
- The Black Hole Singularity in AdS/CFT
- The Gauge Hierarchy Problem and Higher Dimensional Gauge Theories
- The Coulomb Branch of Gauge Theory from Rotating Branes
- Finite Higgs mass without Supersymmetry
- NS5-Branes, T-Duality and Worldsheet Instantons
- Compact Hyperbolic Extra Dimensions: Branes, Kaluza-Klein Modes and Cosmology
- A Matrix Big Bang
- Towards a Big Crunch Dual
- Pseudonatural Inflation
- Bulk and brane radiative effects in gauge theories on orbifolds
- Black Hole Formation in AdS and Thermalization on the Boundary
- Things Fall Apart: Topology Change from Winding Tachyons
- A New Handle on de Sitter Compactifications
- The Inside Story: Quasilocal Tachyons and Black Holes
- Towards Mirror Symmetry as Duality for Two-Dimensional Abelian Gauge Theories
- Cosmological solutions with dilaton and maximally symmetric space in string theory
- Cosmological solutions of supercritical string theory
- Cosmologies with Null Singularities and their Gauge Theory Duals
- Dimension-changing exact solutions of string theory
- Time-dependent Solutions with Null Killing Spinor in M-theory and Superstrings
- On Closed String Tachyon Dynamics
- On string cosmology and the RG flow in 2d field theory
- D3-brane shells to black branes on the Coulomb branch
- Supercritical stability, transitions and (pseudo)tachyons
- Dimensional Mutation and Spacelike Singularities
- New Dimensions for Wound Strings: The Modular Transformation of Geometry to Topology
- Closed String Tachyon Condensation in Supercritical Strings and RG Flows
- Virtual Betti numbers of genus 2 bundles
Cited by in corpus (14)
- Simple de Sitter Solutions
- Charting the landscape of supercritical string theory
- Insightful D-branes
- Hyperbolic compactification of M-theory and de Sitter quantum gravity
- FRW solutions and holography from uplifted AdS/CFT
- Dynamical Cobordism and the Beginning of Time: Supercritical Strings and Tachyon Condensation
- Cosmology of the closed string tachyon
- Initial Conditions for Bubble Universes
- Abelian Fibrations, String Junctions, and Flux/Geometry Duality
- Discrete States in Light-Like Linear Dilaton Background
- Supercriticality of a Class of Critical String Cosmological Solutions
- Geodesics on Calabi-Yau manifolds and winding states in nonlinear sigma models
- D-dualized D-brane
- Decoupling Inflation From the String Scale